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—This paper introduces an efficient and passive discrete modeling technique for estimating signal propagation delays through on-chip long interconnects that are represented as distributed RLC transmission lines. The proposed delay model is based on a less frequently used numerical approximation technique, called the differential quadrature method (DQM). The… (More)

- Qinwei Xu, Pinaki Mazumder
- 2001

—This paper discusses an efficient numerical approximation technique, called the differential quadrature method (DQM), which has been adapted to model lossy uniform and nonuniform transmission lines. The DQM can quickly compute the derivative of a function at any point within its bounded domain by estimating a weighted linear sum of values of the function… (More)

This paper proposes an efficient numerical approximation technique, called the Finite Difference Quadrature (FDQ) Method, which has been adapted to model transmission lines (TL's) with external EM wave coupling. The finite difference quadrature method can quickly compute <i>finite differences</i> between adjacent grid points by estimating a weighted linear… (More)

—This paper proposes an efficient numerical technique, called the finite difference quadrature (FDQ) method, to model the transmission line with radiated electromagnetic (EM) wave noise coupling. A discrete modeling approach, the FDQ method adapts coarse grid points along the transmission line to compute the finite difference between adjacent grid points. A… (More)

This paper introduces a new numerical approximation tech-nique, called the Differential Quadrature Method (DQM), in order to derive the rational ABCD matrix representing the high-speed interconnect. DQM is an efficient differential equation solver that can quickly compute the derivative of a smooth function by estimating a weighted linear sum of the… (More)

The high-order compact finite difference (HCFD) method is adapted for interconnect modeling. Based on the compact finite difference method, the HCFD method employs the Chebyshev polynomials to construct the approximation framework for interconnect discretization, and leads to improved equivalent-circuit models. The HCFD-based modeling requires far fewer… (More)

This paper introduces a new transmission line modeling approach that employs an efficient numerical approximation technique called the Differential Quadrature Method (DQM). The transmission line has been discretized and the approximation framework is constructed by using the 5th order differential quadrature method, consequently an improved discrete… (More)

The improved T and improved ? Models are proposed for on-chip interconnect macromodeling. Using global approximations, simple approximation frames are derived and applied to modeling of on-chip distributed RC interconnects. The applications lead to equivalent circuit models for on-chip interconnects, which are represented by the improved T and improved ?… (More)